λ
Harmonic Matrix

8,542,562

2 × 72 × 61 × 1429
Deficient Even Composite

8,542,562 has digital root 5. The neighboring primes are 8542561 and 8542601; its proper-divisor sum differs from the starting integer by -1,924,264.

Prime Factor Structure

Factorization String 2 × 7^2 × 61 × 1429
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,160,860
Proper Divisor Sum 6,618,298
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8542561 ← → #8542601

Radix Representation

Decimal 8542562
Binary 100000100101100101100010 (24 bits)
Octal 0o40454542
Hexadecimal 0x825962

Divisor Catalog (24)

1 2 7 14 49 61 98 122 427 854 1,429 2,858 2,989 5,978 10,003 20,006 70,021 87,169 140,042 174,338 610,183 1,220,366 4,271,281 8,542,562

Collatz Trajectory (124 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

8,542,562 4,271,281 12,813,844 6,406,922 3,203,461 9,610,384 4,805,192 2,402,596 1,201,298 600,649 1,801,948 900,974 450,487 1,351,462 675,731 2,027,194 1,013,597 3,040,792 1,520,396 760,198 380,099 1,140,298 570,149 1,710,448 855,224 427,612 213,806 106,903 320,710 160,355 481,066 240,533 721,600 360,800 180,400 90,200 45,100 22,550 11,275 33,826 16,913 50,740 25,370 12,685 38,056 19,028 9,514 4,757 14,272 7,136 3,568 1,784 892 446 223 670 335 1,006 503 1,510

More profiles

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